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Finding the Third Proportional to 312,999.19 and 470,949.19

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Solution

The third proportional to 312,999.19 and 470,949.19 is: 708,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,999.19 : 470,949.19 = 470,949.19 : x
  2. Step 2: Convert to fraction form
    312,999.19/470,949.19 = 470,949.19/x
  3. Step 3: Cross multiply
    312,999.19x = 470,949.19 × 470,949.19
  4. Step 4: Simplify right side
    312,999.19x = 221,793,137,206.91
  5. Step 5: Solve for x
    x = 221,793,137,206.91/312,999.19
  6. Step 6: Final answer
    x = 708,606.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.